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42452288 = 262989257
BaseRepresentation
bin1010000111110…
…0010101000000
32221212210120222
42201330111000
541331433123
64113522212
71023560414
oct241742500
987783528
1042452288
1121a6603a
1212273368
138a44ac8
1458d0d44
153ad86c8
hex287c540

42452288 has 56 divisors (see below), whose sum is σ = 88468200. Its totient is φ = 20185088.

The previous prime is 42452269. The next prime is 42452303. The reversal of 42452288 is 88225424.

It can be written as a sum of positive squares in 4 ways, for example, as 12334144 + 30118144 = 3512^2 + 5488^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 165056 + ... + 165312.

Almost surely, 242452288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42452288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44234100).

42452288 is an abundant number, since it is smaller than the sum of its proper divisors (46015912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42452288 is a wasteful number, since it uses less digits than its factorization.

42452288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its digits is 40960, while the sum is 35.

The square root of 42452288 is about 6515.5420342440. The cubic root of 42452288 is about 348.8459622960.

The spelling of 42452288 in words is "forty-two million, four hundred fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 89 116 178 232 257 356 464 514 712 928 1028 1424 1856 2056 2581 2848 4112 5162 5696 7453 8224 10324 14906 16448 20648 22873 29812 41296 45746 59624 82592 91492 119248 165184 182984 238496 365968 476992 663317 731936 1326634 1463872 2653268 5306536 10613072 21226144 42452288